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994526640 = 243352711699
BaseRepresentation
bin111011010001110…
…100010110110000
32120022101012002000
4323101310112300
54014044323030
6242404054000
733434223402
oct7321642660
92508335060
10994526640
11470425648
12239094300
1312b071b03
1496124b72
155c49e860
hex3b4745b0

994526640 has 160 divisors (see below), whose sum is σ = 3440256000. Its totient is φ = 264072960.

The previous prime is 994526623. The next prime is 994526641. The reversal of 994526640 is 46625499.

994526640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (994526641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584511 + ... + 586209.

It is an arithmetic number, because the mean of its divisors is an integer number (21501600).

Almost surely, 2994526640 is an apocalyptic number.

994526640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720128000).

994526640 is an abundant number, since it is smaller than the sum of its proper divisors (2445729360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

994526640 is a wasteful number, since it uses less digits than its factorization.

994526640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 994526640 is about 31536.1164381412. The cubic root of 994526640 is about 998.1722078781.

It can be divided in two parts, 9945 and 26640, that added together give a triangular number (36585 = T270).

The spelling of 994526640 in words is "nine hundred ninety-four million, five hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 271 360 432 540 542 720 813 1080 1084 1355 1626 1699 2160 2168 2439 2710 3252 3398 4065 4336 4878 5097 5420 6504 6796 7317 8130 8495 9756 10194 10840 12195 13008 13592 14634 15291 16260 16990 19512 20388 21680 24390 25485 27184 29268 30582 32520 33980 36585 39024 40776 45873 48780 50970 58536 61164 65040 67960 73170 76455 81552 91746 97560 101940 117072 122328 135920 146340 152910 183492 195120 203880 229365 244656 292680 305820 366984 407760 458730 460429 585360 611640 733968 917460 920858 1223280 1381287 1834920 1841716 2302145 2762574 3669840 3683432 4143861 4604290 5525148 6906435 7366864 8287722 9208580 11050296 12431583 13812870 16575444 18417160 20719305 22100592 24863166 27625740 33150888 36834320 41438610 49726332 55251480 62157915 66301776 82877220 99452664 110502960 124315830 165754440 198905328 248631660 331508880 497263320 994526640